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arXiv · 1304.2692

Recollements of Module Categories

Chrysostomos Psaroudakis·Jorge Vitoria
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Abstract

We establish a correspondence between recollements of abelian categories up to equivalence and certain TTF-triples. For a module category we show, moreover, a correspondence with idempotent ideals, recovering a theorem of Jans. Furthermore, we show that a recollement whose terms are module categories is equivalent to one induced by an idempotent element, thus answering a question by Kuhn.

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BibTeXRIS

Chrysostomos Psaroudakis, Jorge Vitoria. 2013-04-09. Recollements of Module Categories. https://arxiv.org/abs/1304.2692

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